Question

Find the value of x in the figure below. Round to the nearest tenth.

Answer 1

The correct answer option is 20.3.

Explanation:

We are given a right angled triangle with one known angle and one known side length and we are to find the value of x.

To find the value of x, we will use the appropriate trigonometric ratio.

`sin 5 2 = \frac { x } { 2 5 . 8 }`

`x = sin 52 * 2 5 . 8`

x = 20.3

Answer 2

20.3

Explanation:

Use the sine:

`sine=(opposite)/(hypotenuse)`

We have

`opposite=x,\ hypotenuse=25.8,\ \sin52^o\approx0.788`

Substitute:

`(x)/(25.8)=0.788` multiply both sides by 25.8

`x\approx20.3`